Multiple choice

Mean of 5 numbers is 14. One of the numbers is recorded as 16 instead of 21 while computing mean. What is the value of correct mean?

  1. 13

  2. 14

  3. 15

  4. 16
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C Correct answer
Explanation

Sum of 5 numbers = 5 * 14 = 70. Correct sum = 70 - 16 + 21 = 75. Correct mean = 75 / 5 = 15.

AI explanation

Using the arithmetic mean formula, the total sum of the 5 numbers is 5 times 14, which equals 70. To find the correct sum, add the difference between the correct and incorrect numbers, which is 21 minus 16, or 5, giving a new sum of 75. The correct mean is the correct sum divided by the count, so 75 divided by 5 equals 15. The result is 15.

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